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Finding the Fourth Proportional to 8,430.42, 12,647.43 and 3,236.25

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Solution

The fourth proportional to 8,430.42, 12,647.43 and 3,236.25 is: 4,855.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,430.42 : 12,647.43 = 3,236.25 : x
  2. Step 2: Convert to fraction form
    8,430.42/12,647.43 = 3,236.25/x
  3. Step 3: Cross multiply
    8,430.42x = 12,647.43 × 3,236.25
  4. Step 4: Simplify right side
    8,430.42x = 40,930,245.34
  5. Step 5: Solve for x
    x = 40,930,245.34/8,430.42
  6. Step 6: Final answer
    x = 4,855.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.